A periodic function f(t) is defined f(t) i) -π, i byn 28 June 21 dinary -2π) Sketch the graph of the function f(t) over the interval [-37,37].

Q: 24.2 Lemma Let X be an inner product space and ƒ € X'. (a) Let {u₁, 2,...} be an orthonormal set in…

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Q: ODE

A: We use method of undetermined coefficient to find general solution.

Q: Consider the lines r(t) = (2-3, +4--1) and r(s) (+4,- +3,3+6). A. Show that these two lines…

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Q: Q2: In the traverse below, find the length of CD, so that the point ADH will be on one line Line…

A: So, θ=180o+18o = 198oθ=198o

Q: 1- ff f(x,y)dydx represents the. 2- y" +(3y')5-sinx = 4 of order..... 3-ye² dydx = ...............of…

A: We will use basic concept of double integral for 1st part . For second part 1st we will check…

Q: Jack is an aspiring freshman at Ulern University. He realizes that ”all work and no play make Jack a…

A: Solution :-

Q: Please reply as soon as posible. Consider the function: y = C1e2x + C2xe2x + C3e-5x Find a linear…

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Q: 10 dx 64-Г 3

A: It is known that  ∫0π2sinpt cosqdt=Γp+12Γq+122Γp+q+22. Here, Γx is the Gamma function.

Q: Use Romberg integration to approximate √² 2x² + x − 1 dx. Compute the Romberg table until Rij-…

A: The Final diagonal element is always consider the best estimate of the integral  I=∫abf(x)…

Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/² over the solid region S where z is…

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Q: Consider the following equation of a quadric surface 9x^2 - 81y^2 - (z^2/4)=0 (a) Find the…

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Q: You purchase a rectangular piece of metal that has dimensions 4.6 mm x 17.0 mm x 33.5 mm and mass…

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Q: $. 12-1 (2²+-)(2-2) 1-4z+6z² 1 -dz .d

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 8. Consider the complex function f(z) = x² + y² + 2ixy. a) Show that f'(31) does not exist. b) Show…

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Q: Given Ln 8 = = [(1 + (6 - 1) =) *co ( 7 + (1 - 1) ²)] Σ (i (i (i (i n a = b definite integral, that…

A: Explanation of the answer is as follows

Q: Let f(x) = x² P₁(x) = 1 p2(x) = cos(x) P3(x) = cos (2x) be a sequence of orthoginal functions in the…

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Q: Examine the increasing and decreasing of each of the following sequences, whether they are bounded…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Multiple Choice Identify the choice that best completes the statement or answers the question.…

A: Please see the attachment

Q: 3. Calculate y at x = 1 and x = 2 in the following system; y"=10y' +5xy +10x +5 y (0)=10, y'(3)=20

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Q: 9. (a) Show that the functions r(t) = 3et+ 7e-t and y(t) = 3et+21e-t are solutions of the system I'…

A: Given: 9. a) x(t)=3et+7e-t and yt=3et+21e-t and a system, x'=2x-yy'=3x-2y satisfying the initial…

Q: contour

A: For first Contour we use Cauchy Residue Theorem and for second we use Cauchy Integral Formula.

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

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Q: construct a graph with vertices Q,R,S,T,U,V,W that has an Euler path and the degree of U is 1 and…

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Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/2 over the solid region S where z is…

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Q: If 4 p and q P крса are conjugale exponent a measure X a measure space, p р. f₁g:x [₁₂+] measurable…

A: Given P and q are conjugate exponent and f,g are measurable function and let p,q∈(1,∞)

Q: At the Find the moments when the two distance, given vectors of velocity and acceleration are…

A: The given vector is R→t=2 i^+5 cost j^+3 sint k^ ,   0≤t≤π ....(1) To find: the moments of the…

Q: Maximize 3x1+2x2+4x3 subject to  x1+x2+2x3 = 0

A: The given LPP is  Maximize Z = 3x1+2x2+4x3subject to x1+x2+2x3≤42x1+3x3≤52x1+x2+3x3≤7x1,x2,x3≥0 Add…

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: The intervals on which f(x) = x² In x is increasing and decreasing, and intervals of concavity and…

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Q: Z a. Q = f(l, k) = (1+1¬ak¬B)' z, a & ß are positive constants ƏQ aQ Compute the mathematical…

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Q: Which graph has a matching?

A: We use definition of matching.

Q: Letr = (15462 37) and q = (2 4 5 6) be permutations in S7, written in cycle notation. What is the…

A: The given permutations are r=(1 5 4 6 2 3 7) , q=(2 4 5 6). To write: The second line of r in…

Q: Find the elementary matrix E₁ such that E₁A = B where A = 8 9 1 7 -17 −1 18 1 10 and B = 18 7 8 1…

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Q: Given the premise set Γ = { p , q , r , s } and ϕ = ( p ∨ q ) ∧ r , what is the degree of…

A: The premise set  Γ={p,q,r,s} and ϕ=(pVq)∧ r The equation mean is, (p or q) and r. We have to find…

Q: A periodic function ƒ (t) is defined by na f(t) = { di f(t)=ƒ/213< Find the Fourier series…

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Q: Show that the given differential equation 3x²y" + (2x² + 22² + ³) y y=0 has a regular singular point…

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Q: find the area of the surface S: x² + y² + 2² = 4 -A <tan -^ (*) FO 6 < COS Cos FJ VI (2) 4 DEX TI 3…

A: The given Surface is                    x2+y2+z2=4 ........1where π6≤tan-1yx≤π3 and π4≤cos-1z2≤3π4…

Q: Q.1B) Prove that: I = ₂ Cos(x) dxdy sin (1) 2 where R the region bounded by x + y = 1, x = 0, y = 0

A: Given that  I=∫∫RCosx-yx+ydxdy Where R the region bounded by x+y=1, x=0, y=0

Q: Row reduce the matrix to reduced echelon form. Circle the pivot positions in the final matrix and in…

A: Note  Pivots are entries that are used to make zero just above and below rows .

Q: 17. Driving Time You need to buy groceries at the supermarket, deposit a check at the credit union,…

A: To find- You need to buy groceries at the supermarket, deposit a check at the credit union, and…

Q: 6. Let S be a set with a finite number of elements, and let f: S→→ S be a map (a) If fis onto, can f…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: Problem 2: Consider a sequence defined recursively as To= 1, T₁=2, and Tn = Tn-1 +3Tn-2 for n > 2.…

A: The main objective is to prove the given relation.

Q: QUESTION 8 The data given in the Table below is produced from a model of the form: Y = (aX+b) s. 4 2…

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Q: Which proper integral would you use to help determine the convergence/ divergence 8 of the series…

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Q: 2. Let (X, A, μ) be a measure space. If {E} CA and E₁ E₂ E3 C..., then prove that H(UE) = lim (En).

A: Let X,A,μ be a measure space. Let {En}n=1∞⊂A and E1⊆E2⊆....then, To prove: μ∪n=1∞En=limn→∞μ(En).

Q: 1. Solve the differential equation (2xy² - x³)dy + (y³ − 2 yx²) dx = 0.

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Q: 16. CCCS 8th graders need a 2.0 GPA to 'Walk the Stage.' The 2.0 GPA is the average of all three…

A: It is given that the student earned a 2.2 GPA Trimester 1 and a 1.5 GPA Trimester 2. We have to find…

Q: (1) Construct an example for three distinguish points A, B and C in a 3- space for validating the…

A: Introduction: The triangle inequality is one of the most important inequalities in mathematics. In…

Q: Question 2. In modelling a chemical pollution of a narrow stream with a source of pollution, the…

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Q: -10 T -5 5 • 10 0 -10 C ✓ 10 Given the three points of the trapezoid TRAP, determine the 4th point…

A: A quadrilateral has four sides. If only two of those sides are parallel, then it is called as a…